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Finding the Fourth Proportional to 3,906.15, 5,859.03 and 1,440.78

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Solution

The fourth proportional to 3,906.15, 5,859.03 and 1,440.78 is: 2,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.15 : 5,859.03 = 1,440.78 : x
  2. Step 2: Convert to fraction form
    3,906.15/5,859.03 = 1,440.78/x
  3. Step 3: Cross multiply
    3,906.15x = 5,859.03 × 1,440.78
  4. Step 4: Simplify right side
    3,906.15x = 8,441,573.24
  5. Step 5: Solve for x
    x = 8,441,573.24/3,906.15
  6. Step 6: Final answer
    x = 2,161.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.